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Let p= In (x), q= (x^3 ) and r = (x^5 ) , where x>1 . Which of the following statements is/are correct? A. p, q and r are in AP. B. p, q and r can never be in GP. Select the answer using the code given below:

Options

  1. AA only
  2. BB only
  3. CBoth A and B
  4. DNeither A nor B

Correct answer

C. Both A and B

Step-by-step solution

We have given, p = n x , q = n x ^3=3 n x r = x ^5=5 x Clearly, q - p = r - q =2 lnx p , q and r are in A.P. Also, since q p r q p , q and r can never be in GP.

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